1. **State the problem:** We need to find the maximum compressive stress a square column can support given a downward force of 281,500 N and a side length of 7 inches.
2. **Formula used:** Compressive stress $\sigma$ is given by the formula:
$$\sigma = \frac{F}{A}$$
where $F$ is the force and $A$ is the cross-sectional area.
3. **Calculate the area:** Since the column is square with side length 7 inches, the area is:
$$A = 7 \text{ in} \times 7 \text{ in} = 49 \text{ in}^2$$
4. **Convert area to square meters:** 1 inch = 0.0254 meters, so
$$A = 49 \times (0.0254)^2 = 49 \times 0.00064516 = 0.03161384 \text{ m}^2$$
5. **Calculate compressive stress in Pascals:**
$$\sigma = \frac{281,500}{0.03161384} = 8,900,000 \text{ Pa}$$
6. **Convert Pascals to MPa:**
$$8,900,000 \text{ Pa} = 8.9 \text{ MPa}$$
7. **Final answer:** The maximum compressive stress the column can support is **8.9 MPa**.
Compressive Stress Cad986
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